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Finding the Third Proportional to 303,201 and 454,762.13

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Solution

The third proportional to 303,201 and 454,762.13 is: 682,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,201 : 454,762.13 = 454,762.13 : x
  2. Step 2: Convert to fraction form
    303,201/454,762.13 = 454,762.13/x
  3. Step 3: Cross multiply
    303,201x = 454,762.13 × 454,762.13
  4. Step 4: Simplify right side
    303,201x = 206,808,590,334.52
  5. Step 5: Solve for x
    x = 206,808,590,334.52/303,201
  6. Step 6: Final answer
    x = 682,084.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.